Research
Software
Decapodes.jl
Decapodes are a graphical tool for the composition of physical systems.
Ultimately, this library will include tooling which takes advantage of the formalization of physical theories described by DEC provided by CombinatorialSpaces.jl.
AlgebraicControl.jl
Model predictive control (MPC) is an optimal control technique which involves solving a sequence of constrained optimization problems across a given time horizon. We present a novel Julia library that leverages our theoretical results to automate the implementation of correct-by-construction MPC problems in software.
Preprints
| Year | Title |
|---|---|
| 2024 | The diagrammatic presentation of equations in categories Kevin Arlin, James Fairbanks, Tim Hosgood, and Evan Patterson |
| 2024 | Towards a Compositional Framework for Convex Analysis Richard Samuelson and Dario Stein |
| 2023 | A Compositional Framework for Convex Model Predictive Control Tyler Hanks, Baike She, Matthew Hale, Evan Patterson, Matthew Klawonn, and James Fairbanks |
| 2023 | Characterizing Compositionality of LQR from the Categorical Perspective Baike She, Tyler Hanks, James Fairbanks, and Matthew Hale |
| 2023 | Compositional Algorithms on Compositional Data: Deciding Sheaves on Presheaves Ernst Althaus, Benjamin Merlin Bumpus, James Fairbanks, and Daniel Rosiak |
| 2023 | A compositional account of motifs, mechanisms, and dynamics in biochemical regulatory networks Rebekah Aduddell, James Fairbanks, Amit Kumar, Pablo Ocal, Evan Patterson, and Brandon Shapiro |
Journal Papers
| Year | Title |
|---|---|
| 2023 | Computational category-theoretic rewriting Kristopher Brown, Evan Patterson, Tyler Hanks, and James Fairbanks Journal of Logical and Algebraic Methods in Programming |
| 2023 | The application of applied category theory to quantify mission success Robert K Garrett, James Fairbanks, Margaret Loper, and James Moreland Simulation |
| 2022 | An algebraic framework for structured epidemic modelling Sophie Libkind, Andrew Baas, Micah Halter, Evan Patterson, and James Fairbanks Philosophical Transactions of the Royal Society A |
| 2022 | A diagrammatic view of differential equations in physics Evan Patterson, Andrew Baas, Timothy Hosgood, and James Fairbanks Mathematics in Engineering |
| 2021 | Categorical Data Structures for Technical Computing Evan Patterson, Owen Lynch, and James Fairbanks Compositionality |
| 2021 | Category-Theoretic Formulation of the Model-Based Systems Architecting Cognitive-Computational Cycle Yaniv Mordecai, James Fairbanks, and Edward Crawley Applied Sciences |
Conference Papers
| Year | Title |
|---|---|
| 2023 | A Categorical Representation Language and Computational System for Knowledge-Based Robotic Task Planning Angeline Aguinaldo, Evan Patterson, James Fairbanks, William Regli, and Jaime Ruiz 2023 AAAI Fall Symposium on Unifying Representations for Robot Application Development |
| 2022 | Compositional Exploration of Combinatorial Scientific Models Kristopher Brown, Tyler Hanks, and James Fairbanks 5th International Conference on Applied Category Theory |
| 2022 | Computational Category-Theoretic Rewriting Kristopher Brown, Evan Patterson, Tyler Hanks, and James Fairbanks 15th International Conference on Graph Transformation |
| 2021 | Operadic Modeling of Dynamical Systems: Mathematics and Computation Sophie Libkind, Andrew Baas, Evan Patterson, and James Fairbanks 4th International Conference on Applied Category Theory |